Transference matrix method for non slanted holographic reflection gratings

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Title: Transference matrix method for non slanted holographic reflection gratings
Authors: Neipp, Cristian | Francés, Jorge | Pérez Molina, Manuel | Bleda, Sergio | Beléndez, Augusto
Research Group/s: Holografía y Procesado Óptico
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías
Keywords: Holography | Volume holography | Holographic gratings | Reflection gratings | Coupled Wave Theory
Knowledge Area: Óptica | Física Aplicada
Date Created: 15-Mar-2010
Issue Date: 14-May-2010
Publisher: SPIE, The International Society for Optical Engineering
Citation: NEIPP LÓPEZ, Cristian, et al. "Transference matrix method for non slanted holographic reflection gratings". En: Optical Modelling and Design : 5 May 2010, Bruxelles, Belgium / edited by Frank Wyrowski, John T. Sheridan, Jani Tervo, Youri Meuret. Bellingham, Wash. : SPIE, 2010. (Proceedings of SPIE; Vol. 7717). ISBN 978-0-81948-190-0, pp. 771706-1/7
Abstract: In this work we present an analysis of non-slanted holographic reflection gratings by using a matrix method. A transfer matrix which relates the values of the electric field and its derivatives is obtained for a permittivity which varies cosenoidally for one period. The coefficients of this matrix can be calculated in terms of Mathieu's functions and their derivatives. Then the matrix of the entire medium is obtained as the Nth power of the matrix for one period. Since the reflectance and transmittance coefficients are related to the coefficients of the medium matrix, it is possible to calculate the efficiencies of orders -1 (reflected) and 0 (transmitted) by using this method. The results obtained by using the Transference Matrix Method are compared to those obtained using Kogelnik's expressions for the transmission and diffraction efficiency. As will be seen there is good agreement between the results obtained by the Transference Matrix Method and those of the Coupled Wave Theory.
Sponsor: This work was supported by the "Ministerio de Ciencia e Innovación", Spain (project FIS2008-05856-C02-02).
URI: http://hdl.handle.net/10045/14245
ISBN: 978-0-81948-190-0
ISSN: 0277-786X
DOI: 10.1117/12.854277
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright 2010 Society of Photo-Optical Instrumentation Engineers. This paper was published in Proceedings of SPIE, vol. 7717, and is made available as an electronic reprint with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Peer Review: si
Publisher version: http://dx.doi.org/10.1117/12.854277
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